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authorSébastien Crozet <developer@crozet.re>2022-01-02 14:47:40 +0100
committerSébastien Crozet <developer@crozet.re>2022-01-02 16:58:36 +0100
commitf74b8401ad9ef50b8cdbf1f43a2b21f6c42b0ebc (patch)
tree53ac492fea5942a7d466f58a0095f39505674ea4 /src/dynamics/solver/joint_constraint/fixed_velocity_constraint.rs
parentb45d4b5ac2b31856c15e802b31e288a58940cbf2 (diff)
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Implement multibody joints and the new solver
Diffstat (limited to 'src/dynamics/solver/joint_constraint/fixed_velocity_constraint.rs')
-rw-r--r--src/dynamics/solver/joint_constraint/fixed_velocity_constraint.rs436
1 files changed, 0 insertions, 436 deletions
diff --git a/src/dynamics/solver/joint_constraint/fixed_velocity_constraint.rs b/src/dynamics/solver/joint_constraint/fixed_velocity_constraint.rs
deleted file mode 100644
index 8bfc1a6..0000000
--- a/src/dynamics/solver/joint_constraint/fixed_velocity_constraint.rs
+++ /dev/null
@@ -1,436 +0,0 @@
-use crate::dynamics::solver::DeltaVel;
-use crate::dynamics::{
- FixedJoint, IntegrationParameters, JointGraphEdge, JointIndex, JointParams, RigidBodyIds,
- RigidBodyMassProps, RigidBodyPosition, RigidBodyVelocity,
-};
-use crate::math::{AngularInertia, Real, SpacialVector, Vector, DIM};
-use crate::utils::{WAngularInertia, WCross, WCrossMatrix};
-#[cfg(feature = "dim2")]
-use na::{Matrix3, Vector3};
-#[cfg(feature = "dim3")]
-use na::{Matrix6, Vector6};
-
-#[derive(Debug)]
-pub(crate) struct FixedVelocityConstraint {
- mj_lambda1: usize,
- mj_lambda2: usize,
-
- joint_id: JointIndex,
-
- impulse: SpacialVector<Real>,
-
- #[cfg(feature = "dim3")]
- inv_lhs: Matrix6<Real>, // FIXME: replace by Cholesky.
- #[cfg(feature = "dim3")]
- rhs: Vector6<Real>,
-
- #[cfg(feature = "dim2")]
- inv_lhs: Matrix3<Real>, // FIXME: replace by Cholesky.
- #[cfg(feature = "dim2")]
- rhs: Vector3<Real>,
-
- im1: Real,
- im2: Real,
-
- ii1: AngularInertia<Real>,
- ii2: AngularInertia<Real>,
-
- ii1_sqrt: AngularInertia<Real>,
- ii2_sqrt: AngularInertia<Real>,
-
- r1: Vector<Real>,
- r2: Vector<Real>,
-}
-
-impl FixedVelocityConstraint {
- pub fn from_params(
- params: &IntegrationParameters,
- joint_id: JointIndex,
- rb1: (
- &RigidBodyPosition,
- &RigidBodyVelocity,
- &RigidBodyMassProps,
- &RigidBodyIds,
- ),
- rb2: (
- &RigidBodyPosition,
- &RigidBodyVelocity,
- &RigidBodyMassProps,
- &RigidBodyIds,
- ),
- cparams: &FixedJoint,
- ) -> Self {
- let (poss1, vels1, mprops1, ids1) = rb1;
- let (poss2, vels2, mprops2, ids2) = rb2;
-
- let anchor1 = poss1.position * cparams.local_frame1;
- let anchor2 = poss2.position * cparams.local_frame2;
- let im1 = mprops1.effective_inv_mass;
- let im2 = mprops2.effective_inv_mass;
- let ii1 = mprops1.effective_world_inv_inertia_sqrt.squared();
- let ii2 = mprops2.effective_world_inv_inertia_sqrt.squared();
- let r1 = anchor1.translation.vector - mprops1.world_com.coords;
- let r2 = anchor2.translation.vector - mprops2.world_com.coords;
- let rmat1 = r1.gcross_matrix();
- let rmat2 = r2.gcross_matrix();
-
- #[allow(unused_mut)] // For 2D
- let mut lhs;
-
- #[cfg(feature = "dim3")]
- {
- let lhs00 =
- ii1.quadform(&rmat1).add_diagonal(im1) + ii2.quadform(&rmat2).add_diagonal(im2);
- let lhs10 = ii1.transform_matrix(&rmat1) + ii2.transform_matrix(&rmat2);
- let lhs11 = (ii1 + ii2).into_matrix();
-
- // Note that Cholesky only reads the lower-triangular part of the matrix
- // so we don't need to fill lhs01.
- lhs = Matrix6::zeros();
- lhs.fixed_slice_mut::<3, 3>(0, 0)
- .copy_from(&lhs00.into_matrix());
- lhs.fixed_slice_mut::<3, 3>(3, 0).copy_from(&lhs10);
- lhs.fixed_slice_mut::<3, 3>(3, 3).copy_from(&lhs11);
- }
-
- // In 2D we just unroll the computation because
- // it's just easier that way.
- #[cfg(feature = "dim2")]
- {
- let m11 = im1 + im2 + rmat1.x * rmat1.x * ii1 + rmat2.x * rmat2.x * ii2;
- let m12 = rmat1.x * rmat1.y * ii1 + rmat2.x * rmat2.y * ii2;
- let m22 = im1 + im2 + rmat1.y * rmat1.y * ii1 + rmat2.y * rmat2.y * ii2;
- let m13 = rmat1.x * ii1 + rmat2.x * ii2;
- let m23 = rmat1.y * ii1 + rmat2.y * ii2;
- let m33 = ii1 + ii2;
- lhs = Matrix3::new(m11, m12, m13, m12, m22, m23, m13, m23, m33)
- }
-
- // NOTE: we don't use cholesky in 2D because we only have a 3x3 matrix
- // for which a textbook inverse is still efficient.
- #[cfg(feature = "dim2")]
- let inv_lhs = lhs.try_inverse().expect("Singular system.");
- #[cfg(feature = "dim3")]
- let inv_lhs = lhs.cholesky().expect("Singular system.").inverse();
-
- let lin_dvel =
- -vels1.linvel - vels1.angvel.gcross(r1) + vels2.linvel + vels2.angvel.gcross(r2);
- let ang_dvel = -vels1.angvel + vels2.angvel;
-
- #[cfg(feature = "dim2")]
- let mut rhs =
- Vector3::new(lin_dvel.x, lin_dvel.y, ang_dvel) * params.velocity_solve_fraction;
-
- #[cfg(feature = "dim3")]
- let mut rhs = Vector6::new(
- lin_dvel.x, lin_dvel.y, lin_dvel.z, ang_dvel.x, ang_dvel.y, ang_dvel.z,
- ) * params.velocity_solve_fraction;
-
- let velocity_based_erp_inv_dt = params.velocity_based_erp_inv_dt();
- if velocity_based_erp_inv_dt != 0.0 {
- let lin_err = anchor2.translation.vector - anchor1.translation.vector;
- let ang_err = anchor2.rotation * anchor1.rotation.inverse();
-
- #[cfg(feature = "dim2")]
- {
- let ang_err = ang_err.angle();
- rhs += Vector3::new(lin_err.x, lin_err.y, ang_err) * velocity_based_erp_inv_dt;
- }
-
- #[cfg(feature = "dim3")]
- {
- let ang_err = ang_err.scaled_axis();
- rhs += Vector6::new(
- lin_err.x, lin_err.y, lin_err.z, ang_err.x, ang_err.y, ang_err.z,
- ) * velocity_based_erp_inv_dt;
- }
- }
-
- FixedVelocityConstraint {
- joint_id,
- mj_lambda1: ids1.active_set_offset,
- mj_lambda2: ids2.active_set_offset,
- im1,
- im2,
- ii1,
- ii2,
- ii1_sqrt: mprops1.effective_world_inv_inertia_sqrt,
- ii2_sqrt: mprops2.effective_world_inv_inertia_sqrt,
- impulse: cparams.impulse * params.warmstart_coeff,
- inv_lhs,
- r1,
- r2,
- rhs,
- }
- }
-
- pub fn warmstart(&self, mj_lambdas: &mut [DeltaVel<Real>]) {
- let mut mj_lambda1 = mj_lambdas[self.mj_lambda1 as usize];
- let mut mj_lambda2 = mj_lambdas[self.mj_lambda2 as usize];
-
- let lin_impulse = self.impulse.fixed_rows::<DIM>(0).into_owned();
- #[cfg(feature = "dim2")]
- let ang_impulse = self.impulse[2];
- #[cfg(feature = "dim3")]
- let ang_impulse = self.impulse.fixed_rows::<3>(3).into_owned();
-
- mj_lambda1.linear += self.im1 * lin_impulse;
- mj_lambda1.angular += self
- .ii1_sqrt
- .transform_vector(ang_impulse + self.r1.gcross(lin_impulse));
-
- mj_lambda2.linear -= self.im2 * lin_impulse;
- mj_lambda2.angular -= self
- .ii2_sqrt
- .transform_vector(ang_impulse + self.r2.gcross(lin_impulse));
-
- mj_lambdas[self.mj_lambda1 as usize] = mj_lambda1;
- mj_lambdas[self.mj_lambda2 as usize] = mj_lambda2;
- }
-
- pub fn solve(&mut self, mj_lambdas: &mut [DeltaVel<Real>]) {
- let mut mj_lambda1 = mj_lambdas[self.mj_lambda1 as usize];
- let mut mj_lambda2 = mj_lambdas[self.mj_lambda2 as usize];
-
- let ang_vel1 = self.ii1_sqrt.transform_vector(mj_lambda1.angular);
- let ang_vel2 = self.ii2_sqrt.transform_vector(mj_lambda2.angular);
-
- let dlinvel = -mj_lambda1.linear - ang_vel1.gcross(self.r1)
- + mj_lambda2.linear
- + ang_vel2.gcross(self.r2);
- let dangvel = -ang_vel1 + ang_vel2;
-
- #[cfg(feature = "dim2")]
- let rhs = Vector3::new(dlinvel.x, dlinvel.y, dangvel) + self.rhs;
- #[cfg(feature = "dim3")]
- let rhs = Vector6::new(
- dlinvel.x, dlinvel.y, dlinvel.z, dangvel.x, dangvel.y, dangvel.z,
- ) + self.rhs;
-
- let impulse = self.inv_lhs * rhs;
- self.impulse += impulse;
- let lin_impulse = impulse.fixed_rows::<DIM>(0).into_owned();
- #[cfg(feature = "dim2")]
- let ang_impulse = impulse[2];
- #[cfg(feature = "dim3")]
- let ang_impulse = impulse.fixed_rows::<3>(3).into_owned();
-
- mj_lambda1.linear += self.im1 * lin_impulse;
- mj_lambda1.angular += self
- .ii1_sqrt
- .transform_vector(ang_impulse + self.r1.gcross(lin_impulse));
-
- mj_lambda2.linear -= self.im2 * lin_impulse;
- mj_lambda2.angular -= self
- .ii2_sqrt
- .transform_vector(ang_impulse + self.r2.gcross(lin_impulse));
-
- mj_lambdas[self.mj_lambda1 as usize] = mj_lambda1;
- mj_lambdas[self.mj_lambda2 as usize] = mj_lambda2;
- }
-
- pub fn writeback_impulses(&self, joints_all: &mut [JointGraphEdge]) {
- let joint = &mut joints_all[self.joint_id].weight;
- if let JointParams::FixedJoint(fixed) = &mut joint.params {
- fixed.impulse = self.impulse;
- }
- }
-}
-
-#[derive(Debug)]
-pub(crate) struct FixedVelocityGroundConstraint {
- mj_lambda2: usize,
-
- joint_id: JointIndex,
-
- impulse: SpacialVector<Real>,
-
- #[cfg(feature = "dim3")]
- inv_lhs: Matrix6<Real>, // FIXME: replace by Cholesky.
- #[cfg(feature = "dim3")]
- rhs: Vector6<Real>,
-
- #[cfg(feature = "dim2")]
- inv_lhs: Matrix3<Real>, // FIXME: replace by Cholesky.
- #[cfg(feature = "dim2")]
- rhs: Vector3<Real>,
-
- im2: Real,
- ii2: AngularInertia<Real>,
- ii2_sqrt: AngularInertia<Real>,
- r2: Vector<Real>,
-}
-
-impl FixedVelocityGroundConstraint {
- pub fn from_params(
- params: &IntegrationParameters,
- joint_id: JointIndex,
- rb1: (&RigidBodyPosition, &RigidBodyVelocity, &RigidBodyMassProps),
- rb2: (
- &RigidBodyPosition,
- &RigidBodyVelocity,
- &RigidBodyMassProps,
- &RigidBodyIds,
- ),
- cparams: &FixedJoint,
- flipped: bool,
- ) -> Self {
- let (poss1, vels1, mprops1) = rb1;
- let (poss2, vels2, mprops2, ids2) = rb2;
-
- let (anchor1, anchor2) = if flipped {
- (
- poss1.position * cparams.local_frame2,
- poss2.position * cparams.local_frame1,
- )
- } else {
- (
- poss1.position * cparams.local_frame1,
- poss2.position * cparams.local_frame2,
- )
- };
-
- let r1 = anchor1.translation.vector - mprops1.world_com.coords;
-
- let im2 = mprops2.effective_inv_mass;
- let ii2 = mprops2.effective_world_inv_inertia_sqrt.squared();
- let r2 = anchor2.translation.vector - mprops2.world_com.coords;
- let rmat2 = r2.gcross_matrix();
-
- #[allow(unused_mut)] // For 2D.
- let mut lhs;
-
- #[cfg(feature = "dim3")]
- {
- let lhs00 = ii2.quadform(&rmat2).add_diagonal(im2);
- let lhs10 = ii2.transform_matrix(&rmat2);
- let lhs11 = ii2.into_matrix();
-
- // Note that Cholesky only reads the lower-triangular part of the matrix
- // so we don't need to fill lhs01.
- lhs = Matrix6::zeros();
- lhs.fixed_slice_mut::<3, 3>(0, 0)
- .copy_from(&lhs00.into_matrix());
- lhs.fixed_slice_mut::<3, 3>(3, 0).copy_from(&lhs10);
- lhs.fixed_slice_mut::<3, 3>(3, 3).copy_from(&lhs11);
- }
-
- // In 2D we just unroll the computation because
- // it's just easier that way.
- #[cfg(feature = "dim2")]
- {
- let m11 = im2 + rmat2.x * rmat2.x * ii2;
- let m12 = rmat2.x * rmat2.y * ii2;
- let m22 = im2 + rmat2.y * rmat2.y * ii2;
- let m13 = rmat2.x * ii2;
- let m23 = rmat2.y * ii2;
- let m33 = ii2;
- lhs = Matrix3::new(m11, m12, m13, m12, m22, m23, m13, m23, m33)
- }
-
- #[cfg(feature = "dim2")]
- let inv_lhs = lhs.try_inverse().expect("Singular system.");
- #[cfg(feature = "dim3")]
- let inv_lhs = lhs.cholesky().expect("Singular system.").inverse();
-
- let lin_dvel =
- vels2.linvel + vels2.angvel.gcross(r2) - vels1.linvel - vels1.angvel.gcross(r1);
- let ang_dvel = vels2.angvel - vels1.angvel;
-
- #[cfg(feature = "dim2")]
- let mut rhs =
- Vector3::new(lin_dvel.x, lin_dvel.y, ang_dvel) * params.velocity_solve_fraction;
- #[cfg(feature = "dim3")]
- let mut rhs = Vector6::new(
- lin_dvel.x, lin_dvel.y, lin_dvel.z, ang_dvel.x, ang_dvel.y, ang_dvel.z,
- ) * params.velocity_solve_fraction;
-
- let velocity_based_erp_inv_dt = params.velocity_based_erp_inv_dt();
- if velocity_based_erp_inv_dt != 0.0 {
- let lin_err = anchor2.translation.vector - anchor1.translation.vector;
- let ang_err = anchor2.rotation * anchor1.rotation.inverse();
-
- #[cfg(feature = "dim2")]
- {
- let ang_err = ang_err.angle();
- rhs += Vector3::new(lin_err.x, lin_err.y, ang_err) * velocity_based_erp_inv_dt;
- }
-
- #[cfg(feature = "dim3")]
- {
- let ang_err = ang_err.scaled_axis();
- rhs += Vector6::new(
- lin_err.x, lin_err.y, lin_err.z, ang_err.x, ang_err.y, ang_err.z,
- ) * velocity_based_erp_inv_dt;
- }
- }
-
- FixedVelocityGroundConstraint {
- joint_id,
- mj_lambda2: ids2.active_set_offset,
- im2,
- ii2,
- ii2_sqrt: mprops2.effective_world_inv_inertia_sqrt,
- impulse: cparams.impulse * params.warmstart_coeff,
- inv_lhs,
- r2,
- rhs,
- }
- }
-
- pub fn warmstart(&self, mj_lambdas: &mut [DeltaVel<Real>]) {
- let mut mj_lambda2 = mj_lambdas[self.mj_lambda2 as usize];
-
- let lin_impulse = self.impulse.fixed_rows::<DIM>(0).into_owned();
- #[cfg(feature = "dim2")]
- let ang_impulse = self.impulse[2];
- #[cfg(feature = "dim3")]
- let ang_impulse = self.impulse.fixed_rows::<3>(3).into_owned();
-
- mj_lambda2.linear -= self.im2 * lin_impulse;
- mj_lambda2.angular -= self
- .ii2_sqrt
- .transform_vector(ang_impulse + self.r2.gcross(lin_impulse));
-
- mj_lambdas[self.mj_lambda2 as usize] = mj_lambda2;
- }
-
- pub fn solve(&mut self, mj_lambdas: &mut [DeltaVel<Real>]) {
- let mut mj_lambda2 = mj_lambdas[self.mj_lambda2 as usize];
-
- let ang_vel2 = self.ii2_sqrt.transform_vector(mj_lambda2.angular);
-
- let dlinvel = mj_lambda2.linear + ang_vel2.gcross(self.r2);
- let dangvel = ang_vel2;
- #[cfg(feature = "dim2")]
- let rhs = Vector3::new(dlinvel.x, dlinvel.y, dangvel) + self.rhs;
- #[cfg(feature = "dim3")]
- let rhs = Vector6::new(
- dlinvel.x, dlinvel.y, dlinvel.z, dangvel.x, dangvel.y, dangvel.z,
- ) + self.rhs;
-
- let impulse = self.inv_lhs * rhs;
-
- self.impulse += impulse;
- let lin_impulse = impulse.fixed_rows::<DIM>(0).into_owned();
- #[cfg(feature = "dim2")]
- let ang_impulse = impulse[2];
- #[cfg(feature = "dim3")]
- let ang_impulse = impulse.fixed_rows::<3>(3).into_owned();
-
- mj_lambda2.linear -= self.im2 * lin_impulse;
- mj_lambda2.angular -= self
- .ii2_sqrt
- .transform_vector(ang_impulse + self.r2.gcross(lin_impulse));
-
- mj_lambdas[self.mj_lambda2 as usize] = mj_lambda2;
- }
-
- // FIXME: duplicated code with the non-ground constraint.
- pub fn writeback_impulses(&self, joints_all: &mut [JointGraphEdge]) {
- let joint = &mut joints_all[self.joint_id].weight;
- if let JointParams::FixedJoint(fixed) = &mut joint.params {
- fixed.impulse = self.impulse;
- }
- }
-}